You might even want to think about the activity as corporate speed dating, a chance for participants to meet each other quickly, and perhaps, find potential close colleagues.
When participants know each other these responses are best heard by all participants including the facilitator.
If you want them to meet everyone, switch the position of your ones and twos for the next round of two-minute introductions.
Keep your suggested topics simple as two minutes is not a lot of time for both people to respond.
The speed meeting icebreaker is a quick and easy icebreaker that requires no preparation on your part yet gets people involved with each other and moving around the room.
The speed meeting icebreaker usually generates a lot of laughter and fun.